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Finding the Fourth Proportional to 85,102.75, 127,712.45 and 29,698.75

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Solution

The fourth proportional to 85,102.75, 127,712.45 and 29,698.75 is: 44,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,102.75 : 127,712.45 = 29,698.75 : x
  2. Step 2: Convert to fraction form
    85,102.75/127,712.45 = 29,698.75/x
  3. Step 3: Cross multiply
    85,102.75x = 127,712.45 × 29,698.75
  4. Step 4: Simplify right side
    85,102.75x = 3,792,900,124.44
  5. Step 5: Solve for x
    x = 3,792,900,124.44/85,102.75
  6. Step 6: Final answer
    x = 44,568.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.